FIZIKA B 3 (1994) 3, 147166
PHASEINTEGRAL APPROACH TO ROSENMORSE POTENTIALS
NILS DALARSSON
Institute of Theoretical Physics, Uppsala University, Sweden
Received 3 October 1994
Revised manuscript received 25 October 1994
We apply the phaseintegral condition to the motion of a quantal particle in the
RosenMorse potential V(x)=B_{0}tanh(x/x_{0})U_{0}cosh^{2}(x/x_{0})
to show that it yields the energy eigenvalues exactly in any order of approximation, when
the base function is chosen conveniently. Thereafter, we show that the phaseintegral
formula for the normalization factors of bound states agrees very satisfactorily with the
exact calculation. Finally, we apply the phaseintegral formula for the reflexion
coefficient to the transmission of a quantal particle through the above potential to show
that it gives very accurate results.
UDC 530.145
PACS 03.65.Ge
